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Finding the Third Proportional to 7,851 and 12,664.50

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Solution

The third proportional to 7,851 and 12,664.50 is: 20,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851 : 12,664.50 = 12,664.50 : x
  2. Step 2: Convert to fraction form
    7,851/12,664.50 = 12,664.50/x
  3. Step 3: Cross multiply
    7,851x = 12,664.50 × 12,664.50
  4. Step 4: Simplify right side
    7,851x = 160,389,560.25
  5. Step 5: Solve for x
    x = 160,389,560.25/7,851
  6. Step 6: Final answer
    x = 20,429.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.